Finding the Fourth Proportional to 10,501.44, 14,491.98 and 5,785.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.44 : 14,491.98 = 5,785.71 : x
2. Step 2: Convert to fraction form
   10,501.44/14,491.98 = 5,785.71/x
3. Step 3: Cross multiply
   10,501.44x = 14,491.98 × 5,785.71
4. Step 4: Simplify right side
   10,501.44x = 83,846,393.61
5. Step 5: Solve for x
   x = 83,846,393.61/10,501.44
6. Step 6: Final answer
   x = 7,984.28